A toy manufacturer is preparing a production schedule for two new toys, trucks and spinning tops. The construction of each toy truck requires 2 hours on Machine A, 3 hours on Machine B, and 5 hours in the Finishing process. The construction of each spinning top requires 1 hour on Machine A, 1 hours on Machine B, and 1 hour in the Finishing process. Machine A has a total of 80 hours available; Machine B has a total of 50 hours available; and the Finishing process has a total of 70 hours available. If the profits on each truck are $7 and for each spinning top are $2, how many of each toy should be made per week to maximize profit? What is the maximum profit? (Be sure to show all constraints, graph with feasible region, and all work needed to support your answer.)
A toy manufacturer is preparing a production schedule for two new toys, trucks and spinning tops. The construction of each toy truck requires 2 hours on Machine A, 3 hours on Machine B, and 5 hours in the Finishing process. The construction of each spinning top requires 1 hour on Machine A, 1 hours on Machine B, and 1 hour in the Finishing process. Machine A has a total of 80 hours available; Machine B has a total of 50 hours available; and the Finishing process has a total of 70 hours available. If the profits on each truck are $7 and for each spinning top are $2, how many of each toy should be made per week to maximize profit? What is the maximum profit? (Be sure to show all constraints, graph with feasible region, and all work needed to support your answer.)
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 56E
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Transcribed Image Text:A toy manufacturer is preparing a production schedule for two new toys, trucks and spinning tops.
The construction of each toy truck requires 2 hours on Machine A, 3 hours on Machine B, and 5 hours
in the Finishing process. The construction of each spinning top requires 1 hour on Machine A, 1
hours on Machine B, and 1 hour in the Finishing process. Machine A has a total of 80 hours available;
Machine B has a total of 50 hours available; and the Finishing process has a total of 70 hours
available. If the profits on each truck are $7 and for each spinning top are $2, how many of each toy
should be made per week to maximize profit? What is the maximum profit? (Be sure to show all
constraints, graph with feasible region, and all work needed to support your answer.)
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